ten identical metallic balls of density 5gcmcube when dropped into water the volume of the water displaced is found to be 500cm cube. determine the mass of each metallic ball
Answers
Answer:
The terminal velocity of the body of radius r, density ρ falling through a medium of density σ is given by
v=
9
2
η
r
2
(ρ−σ)g
where η is the coefficient of viscosity of the medium
∴v
B
1
=
9
2
η
water
r
B
1
2
(ρ
B
1
−σ
water
)g ....(i)
and v
B
2
=
9
2
η
liquid
r
B
2
2
(ρ
B
2
−σ
liquid
)g ....(ii)
where the subscripts B
1
and B
2
represent metal ball B
1
and metal ball B
2
respectively.
∵r
B
1
=r
B
2
and ∵v
B
1
=v
B
2
(Given)
Substituting these values in (i) and (ii), we get
η
liquid
η
water
=
(ρ
B
2
−σ
liquid
)
(ρ
B
1
−σ
water
)
Substituting the given values, we get
η
liquid
η
water
=
(6.0−1.6)
(3.2−1)
(∵ Density of water =1gcm
−3
)
=
4.4
2.2
=0.5
Explanation:
hope it will help you